The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 0 1 1 0 1 X X 1 0 0 X 1 1 0 1 X 1 1 1 1 0 1 1 0 X 0 1 1 1 X X X 0 1 0 1 1 1 1 X 1 0 1 0 1 1 1 1 1 1 0 1 1 X 1 X 0 1 1 1 X X 0 0 1 1 1 0 1 1 0
0 1 0 0 0 0 0 0 X 0 0 X X 0 X 0 1 1 1 X+1 1 1 1 X+1 X+1 1 1 1 X 1 1 1 1 X X+1 X 1 1 X X 0 X 1 1 1 X+1 1 X 1 1 0 1 X+1 0 X+1 1 X 0 1 X X 1 1 X+1 X 1 X+1 X 1 1 X+1 0 0 0 X 1 0 X+1 0 1 1 0 1
0 0 1 0 0 0 0 1 1 1 X X+1 1 0 1 1 1 1 X+1 X X X+1 0 X 0 1 X 0 X 1 X+1 X+1 1 0 1 1 X X 1 X 1 1 0 0 1 X 1 X+1 X 1 X+1 0 1 X X X+1 X 1 X+1 X 0 1 0 0 0 1 1 1 X 1 X 1 0 1 X 0 X 1 0 X X+1 X 1
0 0 0 1 0 1 0 X 1 1 1 0 X+1 X+1 X+1 X 0 1 X+1 1 1 X 0 X X 0 1 X+1 X 1 0 1 X+1 X+1 X X 0 X+1 X X X 1 1 0 0 0 X X X X+1 0 1 0 1 1 1 1 1 1 1 1 X+1 X+1 0 1 1 X X+1 X+1 X 0 0 1 0 1 X+1 X 0 X 1 X X+1 X
0 0 0 0 1 1 X+1 X+1 1 X 1 0 1 X 0 1 X X 1 0 1 X 1 X+1 0 X+1 1 X 0 0 1 1 1 X+1 1 1 X X+1 0 X+1 X+1 X X 1 X+1 1 0 X 0 0 X+1 0 0 0 X 1 0 0 X X 1 X+1 X+1 X+1 X 0 0 0 X+1 X X 1 0 1 X 0 X X 1 0 X+1 1 X
0 0 0 0 0 X X X X 0 0 X 0 X X 0 X 0 0 X 0 0 0 X X 0 X 0 X X X 0 X 0 0 X X X 0 0 0 X X X X 0 X X 0 0 0 0 0 X 0 X 0 0 X X 0 X 0 0 X X 0 0 0 0 X 0 X X 0 X X X X X X 0 0

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+55x^74+98x^75+106x^76+136x^77+138x^78+176x^79+153x^80+130x^81+145x^82+114x^83+85x^84+80x^85+79x^86+58x^87+82x^88+78x^89+49x^90+52x^91+50x^92+38x^93+30x^94+26x^95+28x^96+16x^97+11x^98+16x^99+3x^100+2x^101+5x^102+4x^103+4x^104

The gray image is a linear code over GF(2) with n=166, k=11 and d=74.
This code was found by Heurico 1.10 in 0.281 seconds.